Geometry - Interactive curriculae of TU Ilmenau
The interactive curriculae provide information on the degree programmes offered by the TU Ilmenau.
Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).
You can find all details on planned lectures and classes in the course catalogue.
Please note that this page is no longer updated. All modules and study plans from PO version 2021 onwards (Bachelor and Master study programs) are now available on the Campus Portal.
| module properties Geometry in degree program Bachelor Informatik 2013 | |
|---|---|
| module number | 200456 |
| examination number | 2400808 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2412 (Probability Theory and Mathematical Statistics) |
| module leader | Prof. Dr. Thomas Hotz |
| term | summer term only |
| language | Deutsch |
| credit points | 5 |
| on-campus program (h) | 45 |
| self-study (h) | 105 |
| obligation | elective module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | https://moodle2.tu-ilmenau.de/course/view.php?id=3554 |
| teacher | |
| signup details for alternative examinations | |
| maximum number of participants | |
| previous knowledge and experience | Grundkenntnisse in Analysis und (insbesondere linearer) Algebra |
| learning outcome | Die Studierenden haben einen Überblick über klassische und moderne Geometrien und können diese beschreiben, mit ihnen umgehen und sie in Beziehung setzen. |
| content | Euklidische Geometrie inkl. Axiomatik und Konstruktionsproblemen, nichteuklidische Geometrie, projektive Geometrie, metrische Geometrie |
| media of instruction and technical requirements for education and examination in case of online participation | Tafel, Skript, Aufgaben, Software, geometrische Objekte In den Jahren, in denen das Modul nicht angeboten wird, werden bei Bedarf Lehrmaterialien zur Verfügung gestellt und Konsultationen angeboten. |
| literature / references | Hartshorne, R. (2000). Geometry: Euclid and beyond. Springer, New York, NY. Klein, Felix (1908). Elementarmathematik vom höheren Standpunkte aus; Teil I: Arithmetik, Algebra, Analysis. B. G. Teubner, Leipzig. Richter-Gebert, J. (2011). Perspectives on Projective Geometry. Springer, Berlin. Benz, W. (2012). Classical Geometries in Modern Contexts. 3. Aufl., Birkhäuser, Basel. Scriba, C. J., Schreiber, P. (2010). 5000 Jahre Geometrie. 3. Aufl., Springer, Heidelberg. |
| evaluation of teaching | |